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Finding the Third Proportional to 386,640 and 582,336

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Solution

The third proportional to 386,640 and 582,336 is: 877,082.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,640 : 582,336 = 582,336 : x
  2. Step 2: Convert to fraction form
    386,640/582,336 = 582,336/x
  3. Step 3: Cross multiply
    386,640x = 582,336 × 582,336
  4. Step 4: Simplify right side
    386,640x = 339,115,216,896
  5. Step 5: Solve for x
    x = 339,115,216,896/386,640
  6. Step 6: Final answer
    x = 877,082.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.